Hilbert 空间有界线性算子相似轨道一个定理的证明

Theorem about the similarity orbit closure of linear bonded operator acting of hilbert space

根据１９８２年ＣＡｐｏｓｔｏｌ，ＤＡＨｅｒｒｅｒｏ和ＤＶｏｉｃｕｌｅｓｃｕ的工作，给出了一类有界线性算子的相似轨道闭包的一个定理，这一定理在相当广泛的一类算子的逼近理论中有重要的应用．

According to a famous theorem of C.Apostol, D.A. Herrero & D.Voiculescu in 1982, this paper gives a theorem about the similarity orbit closure of some linear bounded operator on the complex separable infinite dimensional Hilbert Space.